Question

How do the graphs of f (x) = x 2 and g (x)= 3/4 x 2? relate?

Answer 1

The function g(x) is stretch of 3/4 units in y-direction of graph f(x).

Explanation:

We have given two functions.

f(x) = x² and g(x) = 3/4x²

We have to find relation between them.

We can stretch a graph in y-direction by multiplying it by a constant.

Graph of f(x) is parabola.

g(x) = 3/4(x²)

g(x) = 3/4f(x)

Hence, the function g(x) is stretch of 3/4 units in y-direction of graph f(x).

Answer 2

`g(x)` is a horizontal stretch of
`f(x)` by
`(3)/(4)` units.

Explanation:

The given functions are;

`f(x)=x^2`

and

`g(x)=(3)/(4)x^2`

The parent function is
`f(x)=x^2`.

The function
`g(x)=(3)/(4)x^2` is a horizontal stretch of
`f(x)=x^2` by
`(3)/(4)` units.